On Unitarity of the Scattering Operator in Non-Hermitian Quantum Mechanics Научная публикация
| Журнал |
Annales Henri Poincare
ISSN: 1424-0661 |
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| Вых. Данные | Год: 2024, Том: 25, Страницы: 3899–3909 Страниц : 11 DOI: 10.1007/s00023-024-01414-5 | ||||
| Ключевые слова | 81q05, 81q12, 81u20, 81u40, theoretical, mathematical and computational physics, dynamical systems and ergodic theory, quantum physics, mathematical methods in physics, classical and quantum gravitation, relativity theory, elementary particles, quantum field theory | ||||
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0004 |
Реферат:
We consider the Schr¨odinger operator with regular short range complex-valued potential in dimension d ≥ 1. We show that, for d ≥ 2, the unitarity of scattering operator for this Hamiltonian at high energies implies the reality of the potential (that is Hermiticity of Hamiltonian). In contrast, for d = 1, we present complex-valued exponentially localized soliton potentials with unitary scattering operator for all positive energies and with unbroken PT symmetry. We also present examples of complexvalued regular short range potentials with real spectrum for d = 3. Some directions for further research are formulated.
Библиографическая ссылка:
Novikov R.G.
, Taimanov I.A.
On Unitarity of the Scattering Operator in Non-Hermitian Quantum Mechanics
Annales Henri Poincare. 2024. V.25. P.3899–3909. DOI: 10.1007/s00023-024-01414-5 WOS Scopus РИНЦ OpenAlex
On Unitarity of the Scattering Operator in Non-Hermitian Quantum Mechanics
Annales Henri Poincare. 2024. V.25. P.3899–3909. DOI: 10.1007/s00023-024-01414-5 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 2 мар. 2023 г. |
| Принята к публикации: | 4 янв. 2024 г. |
| Опубликована online: | 5 февр. 2024 г. |
| Опубликована в печати: | 26 февр. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001158125300001 |
| Scopus: | 2-s2.0-85184155329 |
| РИНЦ: | 65987569 |
| OpenAlex: | W4321994397 |